Finding the Third Proportional to 37,111 and 82,224

Step by Step Solution

1. Step 1: Write the proportion equation
   37,111 : 82,224 = 82,224 : x
2. Step 2: Convert to fraction form
   37,111/82,224 = 82,224/x
3. Step 3: Cross multiply
   37,111x = 82,224 × 82,224
4. Step 4: Simplify right side
   37,111x = 6,760,786,176
5. Step 5: Solve for x
   x = 6,760,786,176/37,111
6. Step 6: Final answer
   x = 182,177.42